Higgs production in $e^+ e^- \to l{\bar l} q{\bar q}$ at LEP and NLC

Predictions for Higgs production with processes of the type $e^+ e^- \rightarrow \mu{\bar \mu}\;b\bar b $ at LEP~2 and the NLC are calculated. Short analytical formulae describe the double differential distribution in the invariant masses of the $\mu \bar \mu$ and $b \bar{b}$ pairs. The total cross section may be got with two numerical integrations. The various Higgs-background interferences vanish either identically or are small. The background contributions depend strongly on cuts applied on the invariant masses.